Consider the following u 4 4 v 1 1 Find u middot v u middo

Consider the following. u = (-4, 4), v = (1, -1) Find u middot v. u middot v = Find the angle between u and v to the nearest degree. Theta =

Solution

Solution:

a)     u = -4i + 4j, and

          v = i - j

       now u.v = (-4i + 4j).(i - j) =-4 - 4 = -8

b)       u.v = |u|*|v|*cos

            -8 = (16+16) * (1+1) * cos

            = 180 degree